NDLI: Abelian ergodic theorems for vector-valued functions

Content Provider	Scilit
Author	Kopp, P. E.
Copyright Year	1975
Description	This note contains extensions of the Abelian ergodic theorems in [3] and [6] to functions which take their values in a Banach space. The results are based on an adaptation of Rota's maximal ergodic theorem for Abel limits [8]. Convergence theorems for continuous parameter semigroups are deduced by the approximation technique developed in [3], [6]. A direct application of the resolvent equation also enables us to deduce a convergence theorem for pseudo-resolvents.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/17A1208A5706E9E0BF8F4108F5101790/S0017089500002512a.pdf/div-class-title-abelian-ergodic-theorems-for-vector-valued-functions-div.pdf
Ending Page	60
Page Count	4
Starting Page	57
ISSN	00170895
e-ISSN	1469509X
DOI	10.1017/s0017089500002512
Journal	Glasgow Mathematical Journal
Issue Number	1
Volume Number	16
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1975-03-01
Access Restriction	Open
Subject Keyword	Glasgow Mathematical Journal Applied Mathematics Ergodic Theorem Value Function
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Abelian ergodic theorems for vector-valued functions